Edexcel FP1 2019 June — Question 4

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2019
SessionJune
TopicConic sections

  1. The parabola \(C\) has equation
$$y ^ { 2 } = 16 x$$ The distinct points \(P \left( p ^ { 2 } , 4 p \right)\) and \(Q \left( q ^ { 2 } , 4 q \right)\) lie on \(C\), where \(p \neq 0 , q \neq 0\)
The tangent to \(C\) at \(P\) and the tangent to \(C\) at \(Q\) meet at the point \(R ( - 28,6 )\).
Show that the area of triangle \(P Q R\) is 1331